Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475m |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9041871781845703125 = 312 · 510 · 134 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5147501,-4493234977] |
[a1,a2,a3,a4,a6] |
Generators |
[10917:1108291:1] |
Generators of the group modulo torsion |
j |
965367966819324369601/578679794038125 |
j-invariant |
L |
7.849258501406 |
L(r)(E,1)/r! |
Ω |
0.10023423515303 |
Real period |
R |
3.2628815599745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895d3 |
Quadratic twists by: 5 |